As it is now, they probably will not have (more) abortion restrictions there, no... But if demographics ever shifted, it would be more easily within their right to do have more. Basically, there would be less legal arguments against doing so.
Look at it from the flip side. Let's say hypothetically abortion had been totally banned nationwide since the 1970's......... Do you really think Republicans would have bothered stacking the Supreme court in order to give abortion law back to the states.... ? F*ckkkk no... and it's clear why. They see abortion for any reason at any stage of development as "murder".